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Zarrin [17]
3 years ago
8

Given:

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

AAS' s congruence theorem will be used in this proof

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1) A family consisting of three persons—A, B, and C—goes to a medical clinic that always has a doctor at each of stations 1, 2,
crimeas [40]

Answer:

Step-by-step explanation:

Let us record the station number 1, 2 or 3 for each family member A, B or C.

I am attaching a table containing total outcomes. Outcomes are presented along rows while the assigned station to each member is written along columns. For ease of understanding, 1 3 2 in the table should be interpreted as family member A being assigned to station 1, member B to station 3 and member C to station number 2, respectively.

From table it is clear that the total outcomes possible are 27.

We know that, probability can be defined as,

PROBABITILY = \frac{NUMBER\;OF\;DESIRED\;OUTCOMES}{TOTAL\;NUMBER\;OF\;OUTCOMES}

a) All Members Assigned to the Same Station.

Cases for all members being assigned to same station are as follows:

[1 1 1], [2 2 2], [3 3 3] (outcome number 1, 14 and 27 in the table).

Therefore,

PROBABILITY\;(Case\;a) = \frac{3}{27}\\\\PROBABILITY\;(Case\;a) = 0.111

b) At Most Two Members Assigned to the Same Station.

It means that maximum of 2 members can have the same station. Cases for this situation are as follows:

[1 1 2], [1 1 3], [1 2 1], [1 2 2], [1 3 1], [1 3 3], [2 1 1], [2 1 2], [2 2 1], [2 2 3], [2 3 2],

[2 3 3], [3 1 1], [3 1 3], [3 2 2], [3 2 3], [3 3 1], [3 3 2]

(outcome number 2, 3, 4, 5, 7, 9, 10, 11, 13, 15, 17, 18, 19, 21, 23, 24, 25 and 26 in the table).

Therefore,

PROBABILITY\;(Case\;b) = \frac{18}{27}\\\\PROBABILITY\;(Case\;b) = 0.666

c) All Members Assigned to a Different Station.

For this scenario, we have the following results:

[1 2 3], [1 3 2], [2 1 3], [2 3 1], [3 1 2], [3 2 1] (outcome number 6, 8, 12, 16, 20 and 22 in the table).

Therefore,

PROBABILITY\;(Case\;c) = \frac{6}{27}\\\\PROBABILITY\;(Case\;c) = 0.222

3 0
3 years ago
Add. 7 2 15+5 2 3+9 13 15 plz help btw its a fraction
LUCKY_DIMON [66]
How could it be a fraction? All the numbers are whole & no division? May I assume the #s listed next to each other are multiplied, i.e. 7 2? If so,...

multiply first...
14 * 15 + 10*3 + 1755 (9*13*15)
210 + 30 + 1755
1,995
8 0
3 years ago
A solid plastic ball is a sphere with a radius of 8 inches. How much plastic does it take to make one ball
mihalych1998 [28]

Answer:

2144.66in³

Step-by-step explanation:

Radius = 8 inches.

To determine the amount of sphere to make the ball, we'll have to find its volume.

Volume of a sphere = 4/3 * Πr³

V = 4/3*Πr³

Π = 22/7

V = 4/3 * 22/7 * 8³

V = 2144.66inches³

V = 2144.66in³

The amount of plastic required is 2144.66in³.

7 0
3 years ago
Simplify.<br><br> 1/4y+1 1/2+2−1 3/4y−12
valina [46]

Answer:

2y+9 1/2

Step-by-step explanation:

the answer is 2y+9 1/2 because 1/4y+1 3/4y=2y and 1 1/2+2+ (-12) (12 is negative because its minus 12)=9 1/2 so the answer is 2y+9 1/2

4 0
3 years ago
I need help I hope it uploaded the pic
jenyasd209 [6]
A number that's bigger than 4.3 is the answer :)
8 0
3 years ago
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